Question

A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Express the velocity vector v in terms of i and j.

Answer 1

The speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Explanation:

Given;

velocity of the ball, v = 17 mph

angle of inclination, θ = 22⁰

The horizontal component of the velocity is calculated as;

`V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i`

The vertical component of the velocity is calculated as;

`V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j`

Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)